
arXiv: hep-th/0405182
handle: 11449/23068
We study the symmetries of the soliton spectrum of a pair of T-dual integrable models, invariant under global $SL(2)_q\otimes U(1)$ transformations. They represent an integrable perturbation of the reduced Gepner parafermions, based on certain gauged SL(3) - WZW model. Their (semiclassical) topological soliton solutions, carrying isospin and belonging to the root of unity representations of q-deformed $SU(2)_q$ - algebra are obtained. We derive the semiclassical particle spectrum of these models, which is further used to prove their T-duality properties.
Latex 36 pages
High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematical Physics
High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematical Physics
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